Publication
Journal of Symbolic Computation
Paper

The transcendental Risch differential equation

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Abstract

We present a new rational algorithm for solving Risch differential equations in towers oftranscendental elementary extensions. In contrast to a recent algorithm of Davenport we do not require a progressive reduction of the denominators involved, but use weak normality to obtain a formula for the denominator of a possible solution. Implementation timings show this approach to be faster than a Hermite-like reduction. © 1990, Academic Press Limited. All rights reserved.

Date

01 Jan 1990

Publication

Journal of Symbolic Computation

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